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Finding the Third Proportional to 254,202 and 559,191

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Solution

The third proportional to 254,202 and 559,191 is: 1,230,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,202 : 559,191 = 559,191 : x
  2. Step 2: Convert to fraction form
    254,202/559,191 = 559,191/x
  3. Step 3: Cross multiply
    254,202x = 559,191 × 559,191
  4. Step 4: Simplify right side
    254,202x = 312,694,574,481
  5. Step 5: Solve for x
    x = 312,694,574,481/254,202
  6. Step 6: Final answer
    x = 1,230,102.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.